What is the Greatest Common Factor of 64500 and 64515?

Greatest common factor (GCF) of 64500 and 64515 is 15.

GCF(64500,64515) = 15

We will now calculate the prime factors of 64500 and 64515, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 64500 and 64515.

How to find the GCF of 64500 and 64515?

We will first find the prime factorization of 64500 and 64515. After we will calculate the factors of 64500 and 64515 and find the biggest common factor number .

Step-1: Prime Factorization of 64500

Prime factors of 64500 are 2, 3, 5, 43. Prime factorization of 64500 in exponential form is:

64500 = 2² × 3¹ × 5³ × 43¹

Step-2: Prime Factorization of 64515

Prime factors of 64515 are 3, 5, 11, 17, 23. Prime factorization of 64515 in exponential form is:

64515 = 3¹ × 5¹ × 11¹ × 17¹ × 23¹

Step-3: Factors of 64500

List of positive integer factors of 64500 that divides 64500 without a remainder.

1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 25, 30, 43, 50, 60, 75, 86, 100, 125, 129, 150, 172, 215, 250, 258, 300, 375, 430, 500, 516, 645, 750, 860, 1075, 1290, 1500, 2150, 2580, 3225, 4300, 5375, 6450, 10750, 12900, 16125, 21500, 32250

Step-4: Factors of 64515

List of positive integer factors of 64515 that divides 64500 without a remainder.

1, 3, 5, 11, 15, 17, 23, 33, 51, 55, 69, 85, 115, 165, 187, 253, 255, 345, 391, 561, 759, 935, 1173, 1265, 1955, 2805, 3795, 4301, 5865, 12903, 21505

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 64500 and 64515. The biggest common factor number is the GCF number.
So the greatest common factor 64500 and 64515 is 15.

Also check out the Least Common Multiple of 64500 and 64515